Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

345×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	15	6
3	16	6
done	16	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* y z) z)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

7.0ms

(* (* y z) z)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* (* y z) z)

simplify5.6s

Counts

23 → 23

Iterations

Useful iterations: 4 (3.2s)

Iter	Nodes	Cost
0	38	169
1	97	164
2	379	134
3	1249	134
4	3560	133
done	5000	133

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

10.6b

(* y (* z z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

6.0ms

(* y (* z z))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(* y (* z z))

simplify3.4s

Counts

24 → 24

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	36	174
1	85	171
2	244	141
3	476	141
4	744	141
5	1693	141
done	5000	141

prune47.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

10.6b	(* y (* z z))
10.6b	(* y (* z z))
16.0b	(sqrt (* y (* z z)))
16.0b	(sqrt (* y (* z z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `sqrt-pow1` `associate-l*` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `associate-r` `sqrt-prod` `*-commutative` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

6.0ms	(* y (* z z))
6.0ms	(* y (* z z))
5.0ms	(sqrt (* y (* z z)))
5.0ms	(sqrt (* y (* z z)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* y (* z z))
30.0ms	(* y (* z z))
63.0ms	(sqrt (* y (* z z)))
70.0ms	(sqrt (* y (* z z)))

simplify2.1s

Counts

82 → 82

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	74	636
1	175	582
2	557	510
3	2281	498
done	5001	494

prune193.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* (pow z 3/2) y) (sqrt z))
4.0b	(* (pow z 3/2) y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
12×	`add-sqr-sqrt`
10×	`prod-exp`
9×	`associate-r` `add-cbrt-cube`
8×	`associate-l`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `unpow-prod-down` `cbrt-unprod`
3×	`sqrt-prod` `unswap-sqr`
2×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-prod-down`

Counts

2 → 51

Calls

2 calls:

13.0ms	(* (* (pow z 3/2) y) (sqrt z))
6.0ms	(* (pow z 3/2) y)

series142.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (* (pow z 3/2) y) (sqrt z))
71.0ms	(* (pow z 3/2) y)

simplify3.1s

Counts

57 → 57

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	106	578
1	264	514
2	877	468
3	4069	458
done	5000	454

prune125.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
done	9	7

end0.0ms

sample432.0ms

Algorithm

intervals

Results

217.0ms

10686×

body

valid